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Finding the Fourth Proportional to 513,086.40, 768,463.20 and 263,476.80

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Solution

The fourth proportional to 513,086.40, 768,463.20 and 263,476.80 is: 394,616.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,086.40 : 768,463.20 = 263,476.80 : x
  2. Step 2: Convert to fraction form
    513,086.40/768,463.20 = 263,476.80/x
  3. Step 3: Cross multiply
    513,086.40x = 768,463.20 × 263,476.80
  4. Step 4: Simplify right side
    513,086.40x = 202,472,224,853.76
  5. Step 5: Solve for x
    x = 202,472,224,853.76/513,086.40
  6. Step 6: Final answer
    x = 394,616.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.